122415360 has 144 divisors (see below), whose sum is σ = 397353600. Its totient is φ = 32112640.

The previous prime is 122415353. The next prime is 122415413. The reversal of 122415360 is 63514221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122415360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272416 + ... + 272864.

It is an arithmetic number, because the mean of its divisors is an integer number (2759400).

Almost surely, 2^122415360 is an apocalyptic number.

122415360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198676800).

122415360 is an abundant number, since it is smaller than the sum of its proper divisors (274938240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122415360 is an equidigital number, since it uses as much as digits as its factorization.

122415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122415360 is about 11064.1475044397. The cubic root of 122415360 is about 496.5297842584.

Adding to 122415360 its reverse (63514221), we get a palindrome (185929581).

The spelling of 122415360 in words is "one hundred twenty-two million, four hundred fifteen thousand, three hundred sixty".